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CAGD
2005
13 years 10 months ago
2005
In this paper we analyze an algorithm which solves the point projection and the "inversion" problems for parametric curves and surfaces. It consists of a geometric secon...
CAGD
2005
13 years 10 months ago
2005
Abstract: Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at th...
CAGD
2005
13 years 10 months ago
2005
If we can evaluate a curve by means of a corner cutting algorithm, we call the corresponding system of functions a corner cutting system. We prove that corner cutting systems are ...
CAGD
2005
13 years 10 months ago
2005
The paper iterates on the observation made independently by several groups of authors that building subdivision schemes out of simple, very local and geometrically invariant avera...
CAGD
2005
13 years 10 months ago
2005
Morin and Goldman [Computer Aided Geometric Design 17 (2000) 813] have recently presented a remarkable new framework, based on employing Poisson series, for describing analytic fu...